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312120122132 = 22713265959451
BaseRepresentation
bin1001000101010111100…
…11110001101100010100
31002211122012002000200102
410202223303301230110
520103210222402012
6355215213233232
731356425156360
oct4425363615424
91084565060612
10312120122132
11110407743465
12505a8492818
1323581b30b00
141116caac2a0
1581bb75b2c2
hex48abcf1b14

312120122132 has 36 divisors (see below), whose sum is σ = 675952464096. Its totient is φ = 123476090400.

The previous prime is 312120122123. The next prime is 312120122141. The reversal of 312120122132 is 231221021213.

It is an interprime number because it is at equal distance from previous prime (312120122123) and next prime (312120122141).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32974994 + ... + 32984457.

It is an arithmetic number, because the mean of its divisors is an integer number (18776457336).

Almost surely, 2312120122132 is an apocalyptic number.

It is an amenable number.

312120122132 is an abundant number, since it is smaller than the sum of its proper divisors (363832341964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312120122132 is a wasteful number, since it uses less digits than its factorization.

312120122132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65959488 (or 65959473 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 312120122132 its reverse (231221021213), we get a palindrome (543341143345).

The spelling of 312120122132 in words is "three hundred twelve billion, one hundred twenty million, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 338 364 676 1183 2366 4732 65959451 131918902 263837804 461716157 857472863 923432314 1714945726 1846864628 3429891452 6002310041 11147147219 12004620082 22294294438 24009240164 44588588876 78030030533 156060061066 312120122132